The best way to keep it going is to make it two-step.
The
initial sale is to the guy with more money than sense, and it follows the same trajectory
@AnonymousSauce lists and that OTL Rover did in the 2000s-sputters for a few more years before failing. To GM, it's a "whew, that sucker actually fell for it?" way to shut the brand down in a way that might net them a bit of money instead of less money (to buy out dealers and the like). They keep with the GM platforms and
might, depending on how much R&D they inherit/spend (and even then I'm pretty skeptical), get a new model into production-which will almost certainly sell poorly, due to the lack of name recognition and the "no one wants to buy a car from a doomed brand" effect. So Independent Oldsmobile accomplishes little except for building a few hundred thousand more cars with the Oldsmobile logo and keeping a few thousand employees employed for a little longer...
...Until a foreign company sees the broken wreck of Independent Oldsmobile and buys
that up. The main interest is the dealers-the brand name is unlikely to be very popular, and the cars themselves are either leftover relics or facing crunched, limited development. But still, it's a foot in the door. What happens to the (still UAW) plants is a different story. The research/technical facilities can be used, and maybe some/one of the plants can be used for building either currency-sensitive or chicken-taxed vehicles[1] in the US. Of course, GM's initial sale contract would probably have some "no-resale" clause because they'd suspect it could be a backdoor way to open the US market to a competitor, and because the only way to get a legitimate profit for Independent Oldsmobile is to just sell it again at a higher price than they paid GM. But still, that's the most viable way.
[1]Yes, this means Oldsmobile-branded pickup trucks and vans, unless the buyer just piggybacks their own brand on the Oldsmobile dealers.